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fractions

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Joined: 29 Jul 2018
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fractions  [#permalink]

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New post 16 Sep 2018, 00:41
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For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1
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Re: fractions  [#permalink]

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New post 16 Sep 2018, 00:48
amoghgupta wrote:
For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1



Bunuel can you edit the question. Not able to see the question properly.
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Re: fractions  [#permalink]

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New post 16 Sep 2018, 00:52
amoghgupta wrote:
For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1


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Re: fractions   [#permalink] 16 Sep 2018, 00:52
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